A group of experimenters has 40 mosquitoes in a large container and needs to assign 10 to each of the four groups labeled A, B, C, and D for an experiment. They can capture the mosquitoes one at a time when the mosquitoes enter a side chamber in the container that is baited with water. Which of the following methods is most likely to result in four comparable groups of 10 mosquitoes each?
A. Label the first 10 mosquitoes caught as group A, the second 10 caught as group B, the third 10 caught as group C, and the fourth 10 caught as group D.

B. Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Assign the remaining mosquitoes to the remaining group

C. When each mosquito is caught, roll a die. If the die shows an even number, the mosquito is labeled A If the die shows an odd number, the mosquito is
labeled B. When 10 mosquitoes have been labeled A and 10 have been labeled B. split the remaining 20 mosquitoes into groups C and D.

D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10
more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.

E. When each mosquito is caught, roll a die if the die shows a 1 or 2, the mosquito is labeled A. If the die shows a 3 or 4, the mosquito is labeled B. If the die shows a 5 or 6, the mosquito is labeled C. Repeat this process for 30 mosquitoes Assign the remaining 10 mosquitoes to group D.

Answer:

b = 1.5

Step-by-step explanation:

Lets first set up the equation:

24 - 10b = 9

Okay now lets add 10b on both sides:

24 = 9 + 10b

Now let's subtract 9 from both sides so we can get the variable b by its self:

15 = 10b

Okay now we can divide each side by 10:

1.5 = b

Answer:

24-10(1.5)=9

b = 1.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

b  =  3 /2

Decimal Form:

b =  1.5

10(1.5) = 15

24 - 15 = 9

:)

Answer:

X=-1

Step-by-step explanation:

h(x)=0

-X-1=0

-X=1

X=-1

Answer:

The equation that models the path of the ball is y = 5·x - 0.05·x²

Step-by-step explanation:

The given information are;

The distance the football landed from where it was kicked = 100 feet

The maximum height the football reached =  125 feet

The equation that models the path of the ball is that of the equation of parabola in vertex form, given as follows;

y = a·(x - h)² + k

Where;

(h, k) = The coordinate of the vertex (which is the coordinates of the highest point reached by the ball)

Therefore, taking the x-coordinate of the highest point reached by the ball as midpoint of the horizontal distance moved by the ball, we have;

The x-coordinate of the midpoint of the horizontal distance moved by the ball = (50, 0)

We have;

The coordinate of the highest point reached by the ball = (50, 125)

Therefore;

(h, k) = (50, 125)

Substituting the above values in the equation of the parabola gives;

y = a·(x - 50)² + 125

At x = 100, y = 0, which gives;

0 = a·(100 - 50)² + 125 = a·2500 + 125

0 = a·2500 + 125

a = -125/2500 = -0.05

Therefore, we have;

y = a·(x - h)² + k = y = -0.05 × (x - 50)² + 125 = -0.05·x² + 5·x - 125 + 125

y  = -0.05·x² + 5·x - 125 + 125 = -0.05·x² + 5·x

y =  -0.05·x² + 5·x

The equation that models the path of the ball is y =  -0.05·x² + 5·x.

Answer:

Well if it is rounding to the nearest 10 it is 10

but if you meant round to the nearest 10th then it is 10.7

Step-by-step explanation:

For 10 you look at the ones place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10

FOr 10.7 look at the hundredths place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10.7

Hope this helps!

Answer:

8

Step-by-step explanation:

Answer:   I believe this is the anwser key

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: y=-6

Step-by-step explanation: I tried a few combinations and the distance was 17 if y=-6

Answer:

j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,

Step-by-step explanation:

Answer: s=45 and r=45

Answer:

Step-by-step explanation:

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^111 = 2.5961484293×10^13

Hope this helps! <3

Answer:

The area is 240² ft.

Given:

In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .

To find:

The m∠J.

Solution:

According to  the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In ΔHIJ,

[tex]m\angle H+m\angle I+m\angle J=180^\circ[/tex]       [Angle sum property]

[tex](4x+1)^\circ+(2x-6)^\circ+(6x-7)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

[tex]12x-12=180[/tex]

Add 12 on both sides.

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=16[/tex]

Now,

[tex]m\angle J=(6x-7)^\circ[/tex]

[tex]m\angle J=(6(16)-7)^\circ[/tex]

[tex]m\angle J=(96-7)^\circ[/tex]

[tex]m\angle J=89^\circ[/tex]

Therefore, the measure of angle J is 89 degrees.

Answer:

no solution

Step-by-step explanation:

u can see: 2x + 18y = -16

              => x + 9y = -8

but x + 9y =1

so it is unreasonable

Answer:

r = 2

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

Answer:

Step-by-step explanation:

B: 8.5 inch by 5.5 inch

C: 4.25 inch by 5.5 inch

D: 4.25 inch by 2.75 inch

E: 2.125 inch by 2.75 inch

Answer:

D

Hope this helped!

Happy Halloween!

Answer:

5

Good Luck!!!

Answer: Evaporation

Step-by-step explanation: The sun heats surface water through evaporation.

Answer:

Linear! :)

Step-by-step explanation:

Answer:

wheres the gragh?

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

hope you have a great day!

Answer:

x = 5

Step-by-step explanation:

minus 2 from both sides. so you get

10 = 2x.

divide by 2 on both sides to get

x = 5

Answer:

I need more info please

Answer:

9 can go into -45  5  times becuase 5 times 9 is 45 but because it is a negative number the answer will be -5 because a negative and a positive =a negative does this help? :)

Step-by-step explanation:

Answer:

use slope intercept form to write the equation   y=mx+b   m (slope of the line) will be the hourly fee, and b (y-intercept) will be the one-time transportation fee.

y=30x+20

to find the cost of renting a canoe for 6 hours, plug 6 into the equation replacing x

y=(30×6)+20

y=180+20=$200

Sorry, I can't graph the line, but I would number the x-axis of the coordinate plane (graph) by 1s or 2s (for the hours), and the y-axis by 20s (for the cost

Step-by-step explanation:

Answer: Required euqtaion: 3000+100x = 5400+70x

Solution: x=80 i.e. The number of meals at which the total cost charged by the two venues would be the same = 80

Step-by-step explanation:

Let x= Number of meals.

For Lyme Point Inn, cost for x meals = 100x

Total cost = 3000+100x

For Ever After Farm, cost for x meals = 70x

Total cost = 5400+70x

When both cots same, then

3000+100x = 5400+70x

⇒ 100x-70x= 5400-3000

⇒ 30x=2400

⇒ x= 80

Hence, the number of meals at which the total cost charged by the two venues would be the same.  =80

Answer:

180-89= 91

Step-by-step explanation:

Answer:

2 = 91

Step-by-step explanation:

Angle 2 and the 89 degree angle are supplementary (They both add up to 180) because they form a straight line. So, you would do as follows:

180 - 89 =

91

Answer:

20%

Step-by-step explanation:

4 is 80% of 5, so all we need to do is find out what percent is left after 80%, 20%, and then that would be how much it decreased